(1+cosA)(1-cosA)

asked by guest
on Nov 25, 2024 at 8:41 am



You asked:

Evaluate the expression: \(\left(1 + \cos\left( A \right)\right) \cdot \left(1 - \cos\left( A \right)\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left(1 + \cos\left( A \right)\right) \cdot \left(1 - \cos\left( A \right)\right) = \left(1 - \cos{\left(A \right)}\right) \left(\cos{\left(A \right)} + 1\right) \)

Expanded

\[\left(1 + \cos\left( A \right)\right) \cdot \left(1 - \cos\left( A \right)\right) = 1 - \cos^{2}{\left(A \right)}\]

Factored

\[\left(1 + \cos\left( A \right)\right) \cdot \left(1 - \cos\left( A \right)\right) = - \left(\cos{\left(A \right)} - 1\right) \left(\cos{\left(A \right)} + 1\right)\]

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